Population balance modeling. Promise for the future

D Ramkrishna, AW Mahoney - Chemical engineering science, 2002 - Elsevier
Population balance modeling has received an unprecedented amount of attention during
the past few years from both academic and industrial quarters because of its applicability to …

Population balances for particulate processes—a volume approach

D Verkoeijen, GA Pouw, GMH Meesters… - Chemical Engineering …, 2002 - Elsevier
Population balance models have been used in chemical engineering since the 1960s and
have evolved to become the most important tools for design and control of particulate …

On the solution of population balance equations by discretization—I. A fixed pivot technique

S Kumar, D Ramkrishna - Chemical Engineering Science, 1996 - Elsevier
A new framework for the discretization of continuous population balance equations (PBEs) is
presented in this work. It proposes that the discrete equations for aggregation or breakage …

[图书][B] Population balances: Theory and applications to particulate systems in engineering

D Ramkrishna - 2000 - books.google.com
Engineers encounter particles in a variety of systems. The particles are either naturally
present or engineered into these systems. In either case these particles often significantly …

On the solution of population balances for nucleation, growth, aggregation and breakage processes

S Qamar, G Warnecke, MP Elsner - Chemical Engineering Science, 2009 - Elsevier
This work is concerned with the modeling and simulation of population balance equations
(PBEs) for combined particulate processes. In this study a PBE with simultaneous …

Solution of the population balance equation using the sectional quadrature method of moments (SQMOM)

MM Attarakih, C Drumm, HJ Bart - Chemical Engineering Science, 2009 - Elsevier
A discrete framework is introduced for simulating the particulate physical systems governed
by population balance equations (PBE) with particle splitting (breakage) and aggregation …

Quadrature method of moments for population‐balance equations

DL Marchisio, JT Pikturna, RO Fox, RD Vigil… - AIChE …, 2003 - Wiley Online Library
Although use of computational fluid dynamics (CFD) for simulating precipitation (and
particulate systems in general) is becoming a standard approach, a number of issues still …

Challenges and opportunities concerning numerical solutions for population balances: a critical review

M Singh, V Ranade, O Shardt… - Journal of Physics A …, 2022 - iopscience.iop.org
Population balance models are tools for the study of dispersed systems, such as granular
materials, polymers, colloids and aerosols. They are applied with increasing frequency …

A finite element analysis of the steady state population balance equation for particulate systems: Aggregation and growth

M Nicmanis, MJ Hounslow - Computers & chemical engineering, 1996 - Elsevier
Collocation and Galerkin finite element algorithms are developed to solve the steady state
population balance equation. Unlike previously proposed schemes, the algorithms are …

On the solution of population balance equations by discretization—II. A moving pivot technique

S Kumar, D Ramkrishna - Chemical Engineering Science, 1996 - Elsevier
Discretized population balances of aggregating systems are known to consistently over-
predict number densities for the largest particles. This over-prediction has been attributed …